Answered: A vector field is given by V =…

A vector field is given by V = (5x²+4y)į + 5y²j + (z² + 3)k, using Gauss's theorem (or Divergence theorem), find the amount of field that flows out of a cube with dimensions 0sx< 1,0

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.FOM: Focus On Modeling: Vectors Fields

Problem 11P

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Question

A vector field is given by V = (5x²+4y)į + 5y²j+ (z² + 3)k, using
Gauss's theorem (or Divergence theorem), find the amount of field that
flows out of a cube with dimensions 0 <x< 1, 0sys1,0<z<1.
Remember, f. V• dS = [[y ▼ • V dV.

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